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Finding the Third Proportional to 194,713 and 420,564.50

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Solution

The third proportional to 194,713 and 420,564.50 is: 908,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,713 : 420,564.50 = 420,564.50 : x
  2. Step 2: Convert to fraction form
    194,713/420,564.50 = 420,564.50/x
  3. Step 3: Cross multiply
    194,713x = 420,564.50 × 420,564.50
  4. Step 4: Simplify right side
    194,713x = 176,874,498,660.25
  5. Step 5: Solve for x
    x = 176,874,498,660.25/194,713
  6. Step 6: Final answer
    x = 908,385.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.